Statistical convergence of complex uncertain sequence of order $(\alpha, \beta)$
In this paper, the concept of asymptomatic density of order $(\alpha, \beta)$ (where $\alpha$, $\beta$ are real numbers such that $0 \alpha \beta \leq 1)$ has been used to introduce the concepts of statistical convergence of order $(\alpha, \beta)$ for complex uncertain sequences: the notions of statistical convergence in mean of order $(\alpha, \beta)$, statistical convergence in measure of order $(\alpha, \beta)$, statistical convergence in distribution of order $(\alpha, \beta)$, almost surely statistical convergence of order $(\alpha, \beta)$, uniformly almost surely statistical convergence of order $(\alpha, \beta)$ for complex uncertain sequences. Also, relationships among those introduced concepts have been studied.
Authors
- Binod Chandra Tripathy (ORCID: https://orcid.org/0000-0002-0738-652X)
- Dhiman Dutta
- Gautam Sagar
- Mausumi Sen (ORCID: https://orcid.org/0000-0002-3278-8985)
Institutions
- National Institute Of Technology Silchar (IN)
- Tripura University (IN)
- Global University (LB)
Publication Details
- Journal
- Annals of the University of Craiova Mathematics and Computer Science Series
- Published
- 2025-06-20
- DOI
- https://doi.org/10.52846/ami.v52i1.1908
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 0.00